The number 61764
61764 is a composite number with 12 divisors. Its prime factorisation is × 3 × 5147. Divisors (12): 1, 2, 3, 4, 6, 12, 5147, 10294, 15441, 20588, 30882, 61764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61764 is composite. Its prime factorisation is
- 3
The divisors add up to 144144; without 61764 itself that is 82380, so 61764 is abundant (82380 is more than 61764). Euler's totient φ(61764) = 20584 numbers up to 61764 share no factor with it.
- 4
The digits of 61764 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61764 = 2^{2} \times 3 \times 5147 \]61764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 144144 |
| Euler totient φ(n) | 20584 |
| Square | 3814791696 |
| Cube | 235616794311744 |
| Square root | 248.523641 (= 2√15441) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1764 × |
61764 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and sixty-four |
| Binary (base 2) | 1111000101000100 |
| Octal (base 8) | 170504 |
| Hexadecimal (base 16) | F144 |
| Base 3 | 10010201120 |
| As time | 61764 seconds = 17 h 9 min 24 s |
Is 61764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61764 ÷ 2 = 30882) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61764 ÷ 3 = 20588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61764 ÷ 4 = 15441) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61764 ÷ 6 = 10294) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61764 ÷ 12 = 5147) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61764 a prime number?
No. 61764 = × 3 × 5147, so it is divisible by 2.
What are the factors of 61764?
1, 2, 3, 4, 6, 12, 5147, 10294, 15441, 20588, 30882, 61764.
What is 61764 in binary?
1111000101000100 (hexadecimal F144, octal 170504).
What is the square root of 61764?
About 248.5236, exactly 2√15441.
Is 61764 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 61764?
It is a composite number with 12 divisors.